Question

What's the approximate length of an arc with radius 3 miles and central angle of 45

Answer 1

Length of the arc of a circle is given by,

• Length of arc = $\frac{\theta}{360^{\circ}}(2\pi r)$

Here, θ is the central angle subtended by the arc

r = Radius of circle

If the radius of circle = 3 miles

Central angle subtended by the arc = 45°

Therefore, length of the arc = $\frac{45^{\circ}}{360^{\circ}}(2\pi )(3)$

                                               = 2.36 miles

           Length of the arc of the given circle will be 2.36 miles.

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